Table of Contents: “...Introduction and Caveats -- Intermolecular interactions, correlations, and Mutual Information -- Application of Multivariate Mutual Information to study spin systems -- Entropy of Mixing and Entropy of Assimilation, an Informational Theoretical Approach...”

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Table of Contents: “...: Correlation Testing and Line Fitting -- Model Fitting -- Part IV: Selected Topics -- Information, Uncertainty, and Surprise -- Erratic Time Series -- Probability in Quantum Physics -- Entropy, Complexity, and the Arrow of Time -- Solutions....”

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Table of Contents: “...1. Introduction -- 2. Summary of Information Theory -- 3. Path Entropies of Non Random Functions -- 4. Path Entropies of Random Functions and of Non-Random Distributed Functions -- 5. Quantum Entropies of Non-Probabilistic Square Matrices -- 6. Complex...”

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Table of Contents: “...Edwin Thompson Jaynes -- A Tribute to Edwin T. Jaynes -- The Near-Irrelevance of Sampling Frequency Distributions -- Outlier Tolerant Parameter Estimation -- Universality, Prior Information and Maximum Entropy in Foams -- Texture Reconstruction in Noisy...”

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Table of Contents: “... Quadratic Dispersion -- 5.3 Finslerian Development and Curvature -- 5.4 Finsleriam Filtering and Quadratic Dispersion -- 5.5 Entropy Production and Quadratic Dispersion -- 6 Diffusion on the Tangent and Indicatrix Bundles -- 6.1 Slit Tangent Bundle as Riemannian...”

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Table of Contents: “...Massive Inference and Maximum Entropy -- CV-NP Bayesianism by MCMC -- Which Algorithms are Feasible? A Maxent Approach -- Maximum Entropy, Likelihood and Uncertainty: A Comparison -- Probabilistic Methods for Data Fusion -- Whence the Laws of Probability...”

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Table of Contents: “... by the Multiscale Maximum Entropy Method -- 30 Nested Test for Point Sources -- 31 Segmenting Chromospheric Images with Markov Random Fields -- 32 Analysis of Hipparcos Data in the Orthonormal Wavelet Representation -- 33 Statistical Properties of Wavelet Transforms...”

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Table of Contents: “... Bayesian Networks -- The Bootstrap is Inconsistent with Probability Theory -- Data-Driven Priors for Hyperparameters in Regularization -- Mixture Modeling to Incorporate Meaningful Constraints Into Learning -- Maximum Entropy (Maxent) Method in Expert Systems...”

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Table of Contents: “...Applications -- Flow and diffusion images from Bayesian spectral analysis of motion-encoded NMR data -- Bayesian estimation of MR images from incomplete raw data -- Quantified maximum entropy and biological EPR spectra -- The vital importance of prior...”

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Table of Contents: “... Analysis -- Bayesian Robustness -- Bayesian Robustness: A New Look from Geometry -- Local Posterior Robustness with Parametric Priors: Maximum and Average Sensitivity -- Clustering -- Tree-Structured Clustering via the Minimum Cross Entropy Principle -- Inverse...”

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Table of Contents: “... chaotic systems -- Classical and quantum chaotic scattering -- From fractals to stochastic differential equations -- Dissipative structures and weak turbulence -- Entropy and quantum characteristic exponents. steps towards a quantum pesin theory -- Rigorous...”

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Table of Contents: “... -- Colombeau Generalized Functions and Stochastic Analysis -- Constructive Field Theoretic Methods and Stochastic Partial Differential Equations -- Quantum Yang-Mills Theory on Compact Surfaces -- Entropy and KMS Norms -- An Introduction to White Noise Analysis...”

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Table of Contents: “... -- Linear and non-linear decomposition of images using Gabor wavelets -- Multiresolution analyses, tiles, and scaling functions -- II Applications in engineering -- Innovations and entropy rate with applications in factorization, spectral estimation...”

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Table of Contents: “... Concepts in the Theory of Dynamical Systems -- 4.2 Scaling Behavior of Attractors of Dissipative Dynamical Systems -- 4.3 Generalized Dimensions, Lyapunov Exponents, Entropies -- 4.4 Evaluation of Experimental Systems -- 4.5 High-Dimensional Systems -- 4.6...”

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Table of Contents: “... Regression -- Data-Adaptive Kernel Estimation -- On the Nonparametric Estimation of the Entropy Functional -- II. Curve and Functional Estimation (Continued) -- Analysis of Samples of Curves -- Bootstrap Methods in Nonparametric Regression -- On the Influence...”

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Table of Contents: “... to Sea Floor Pressure Data -- Applications of Maximum Entropy and Bayesian Methods in Neutron Scattering -- The Conditional Entropy of a Canonical Constraint -- Solving Oversampled Data Problems by Maximum Entropy -- Constructing Priors in Maximum Entropy...”

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Table of Contents: “...Tutorial -- Clearing up Mysteries — The Original Goal -- From Rationality and Consistency to Bayesian Probability -- Classic Maximum Entropy -- Developments in Maximum Entropy Data Analysis -- The Three Phases of Statistical Mechanics -- Bell’s Theorem...”

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Table of Contents: “...How does the Brain Do Plausible Reasoning? -- The Relation of Bayesian and Maximum Entropy Methods -- An Engineer Looks at Bayes -- Bayesian Inductive Inference and Maximum Entropy -- Excerpts from Bayesian Spectrum Analysis and Parameter Estimation...”

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Table of Contents: “...Seti, Radon Transforms, and Optimization -- Inductive Inference by Neutral Networks -- On the Efficiency of a Class of Maximum Entropy Estimators -- Quantum Statistical Mechanics in Phase Space and the Classical Limit -- Superposition Effects...”

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